Discussion
The terms shown are enough to fix the rule and so the term that follows. Determine the relationship and select the number that follows.
2, 2, 4, 6, 10, 16, ?
Answer: C
Correct answer: 26
Each term is the sum of the two before it. Testing this in the middle of the series, 2 plus 2 is 4, and 2 plus 4 is 6. Applying it to the last pair, 10 plus 16 is 26. As a check, subtracting 16 from the answer leaves 10, which is the term two places back, exactly as the rule requires. A series whose differences are constant in the second row is quadratic and can be given a formula.
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